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Simplifying 5 + 1x = 7x + -5 Reorder the terms: 5 + 1x = -5 + 7x Solving 5 + 1x = -5 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 5 + 1x + -7x = -5 + 7x + -7x Combine like terms: 1x + -7x = -6x 5 + -6x = -5 + 7x + -7x Combine like terms: 7x + -7x = 0 5 + -6x = -5 + 0 5 + -6x = -5 Add '-5' to each side of the equation. 5 + -5 + -6x = -5 + -5 Combine like terms: 5 + -5 = 0 0 + -6x = -5 + -5 -6x = -5 + -5 Combine like terms: -5 + -5 = -10 -6x = -10 Divide each side by '-6'. x = 1.666666667 Simplifying x = 1.666666667
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